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Simplifying 5a + 6x = 8x + -3a Reorder the terms: 5a + 6x = -3a + 8x Solving 5a + 6x = -3a + 8x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. 5a + 3a + 6x = -3a + 3a + 8x Combine like terms: 5a + 3a = 8a 8a + 6x = -3a + 3a + 8x Combine like terms: -3a + 3a = 0 8a + 6x = 0 + 8x 8a + 6x = 8x Add '-6x' to each side of the equation. 8a + 6x + -6x = 8x + -6x Combine like terms: 6x + -6x = 0 8a + 0 = 8x + -6x 8a = 8x + -6x Combine like terms: 8x + -6x = 2x 8a = 2x Divide each side by '8'. a = 0.25x Simplifying a = 0.25x
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